Search a number
-
+
5525110656000 = 210335313313967
BaseRepresentation
bin101000001100110101001…
…0000100000110000000000
3201120012021110110022222000
41100121222100200300000
51211010411311443000
615430111212144000
71110114251456235
oct120315220406000
921505243408860
105525110656000
111840205a20521
12752978468000
13311028650370
141515b991978c
1598ac2ad4000
hex5066a420c00

5525110656000 has 1408 divisors, whose sum is σ = 22706600017920. Its totient is φ = 1315823616000.

The previous prime is 5525110655993. The next prime is 5525110656007. The reversal of 5525110656000 is 6560115255.

5525110656000 is a `hidden beast` number, since 5 + 525 + 1 + 10 + 65 + 60 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5525110655993) and next prime (5525110656007).

It is a super-2 number, since 2×55251106560002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5525110656007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1392766017 + ... + 1392769983.

Almost surely, 25525110656000 is an apocalyptic number.

5525110656000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5525110656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11353300008960).

5525110656000 is an abundant number, since it is smaller than the sum of its proper divisors (17181489361920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5525110656000 is a wasteful number, since it uses less digits than its factorization.

5525110656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4055 (or 4021 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 5525110656000 in words is "five trillion, five hundred twenty-five billion, one hundred ten million, six hundred fifty-six thousand".